The stable crossing number of a twist family of knots and the satellite crossing number conjecture, (with Kenneth L. Baker), to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
Dehn filling and the knot group III: cyclic persistent subgroups, (with Tetsuya Ito and Masakazu Teragaito), to appear in Bol. Soc. Mat. Mexicana.
Asymptotic behavior of unknotting numbers of links in a twist family, (with Kenneth L. Baker, Yasuyuki Miyazawa), to appear in Topology Appl.
Classification of generalized torsion elements of order two in 3-manifold groups, (with Keisuke Himeno and Masakazu Teragaito), to appear Topology Appl.
The Strong Slope Conjecture and crossing numbers for Mazur doubles of knots, (with Kenneth L. Baker and Toshie Takata), to appear in Springer Proc. Math. Stat., "Low Dimensional Topology and Number Theory".
Generalized torsion, unique root property and Baumslag-Solitar relation for knot groups, (with Keisuke Himeno and Masakazu Teragaito), Hiroshima Math. J. 53 (2023), 345--358.
Generalized torsion for hyperbolic 3-manifold groups with arbitrary large rank, (with Tetsuya Ito and Masakazu Teragaito), Bull. London Math. Soc. 55 (2023), 1203-1209. DOI: 10.1112/blms.12784
Dehn surgery on knots -- tracing the evolution of research, Sugaku Expositions, Amer. Math. Soc. 36 (2023), 1-33. DOI: 10.1090/suga/473
Generalized torsion for knots with arbitrarily high genus, (with Masakazu Teragaito), Canad. Math. Bull. 65 (2022), 867-881. DOI: 10.4153/S0008439521000977
Generalized torsion and Dehn filling, (with Tetsuya Ito and Masakazu Teragaito), Topology Appl. 301 (2021), 107515. DOI: 10.1016/j.topol.2020.107515
Nontrivial elements in a knot group which are trivialized by Dehn fillings, (with Tetsuya Ito and Masakazu Teragaito), Int. Math. Res. Not. IMRN, 2021 (2021), 8297-8321. DOI: 10.1093/imrn/rnz069
The Strong Slope Conjecture for cablings and connected sums, (with Kenneth L. Baker and Toshie Takata), New York J. Math. 27 (2021), 676-704.
Dehn fillings on knot groups, (with Tetsuya Ito and Masakazu Tergaito), Mathematisches Forschungsinstitut Oberworfach, Oberworfach Reports, 17 (2020). DOI: 10.4171/OWR/2020/8
The Strong Slope Conjecture for Whitehead doubles, (with Kenneth L. Baker and Toshie Takata), Intelligence of Low-dimensional Topology, RIMS Kokyuroku, No.2163 (2020), 62-81.
The Strong Slope Conjecture for twisted generalized Whitehead doubles, (with Kenneth L. Baker and Toshie Takata), Quantum Topology, 11 (2020), 545-608. DOI: 10.4171/QT/242
Seifert vs slice genera of knots in twist families and a characterization of braid axes, (with Kenneth L. Baker), Proc. London Math. Soc.119 (2019), 1493-1530. DOI: 10.1112/plms.12274
Generalized torsion and decomposition of 3-manifolds, (with Tetsuya Ito and Masakazu Teragaito), Proc. Amer. Math. Soc. 147 (2019), 4999-5008. DOI: 10.1090/proc/14581
Vanishing nontrivial elements in a knot group by Dehn fillings, (with Kazuhiro Ichihara and Masakazu Teragaito), Topology Appl. 264 (2019), 223-232. DOI: 10.1016/j.topol.2019.06.023
Twist families of L-space knots, their genera, and Seifert surgeries, (with Kenneth L. Baker), Comm. Anal. Geom. 27 (2019), 743-790. DOI: 10.4310/CAG.2019.v27.n4.a1
結び目のDehn手術--研究の変遷をたどって, 数学(日本数学会), 岩波書店, 第70巻, 第4号 (2018).
Noncharacterizing slopes for hyperbolic knots, (with Kenneth L. Baker), Algebr. Geom. Topol. 18 (2018), 1461-1480. DOI: 10.2140/agt.2018.18.1461
Generalized torsion elements and bi-orderability of 3-manifold groups, (with Masakazu Teragaito), Canad. Math. Bull. 60 (2017), 830-844. DOI: 10.4153/CMB-2017-008-8
Tight fibered knots and band sums, (with Kenneth L. Baker), Math. Z. 286 (2017), 1357-1365. DOI: 10.1007/s00209-016-1804-9
On L-space twisted torus knots, (with Kazushige Tohki), Proceedings of the Institute of Natural Sciences, Nihon University, 52 (2017), 325-338.
A note on L-spaces which are double branched covers of non-quasi-alternating links, Topology Appl. 230 (2017), 172-180. DOI: 10.1016/j.topol.2017.08.043
The slope conjecture for graph knots, (with Toshie Takata), Math. Proc. Camb. Phil. Soc. 162 (2017), 383-392. DOI: 10.1017/S0305004116000566
L-space surgery and twisting operation, Algebr. Geom. Topol. 16 (2016), 1727-1772. DOI: 10.2140/agt.2016.16.1727
Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions, (with Mario Eudave-Munoz, Edgar Jasso and Katura Miyazaki), Topology Appl. 196 (2015) 729-753. DOI: 10.1016/j.topol.2015.05.016
Hyperbolic L--space knots and exceptional Dehn surgeries, (with Kazushige Tohki), J. Knot Theory Ramifications, 23 (2014), 1450079.
Neighbors of Seifert surgeries on a trefoil knot in the Seifert Surgery Network, (with Arnaud Deruelle and Katura Miyazaki), Bol. Soc. Mat. Mexicana 20 (2014), 523-558. DOI: 10.1007/s40590-014-0034-6
Networking Seifert surgeries on knots III, (with Arnaud Deruelle and Katura Miyazaki), Algebr. Geom. Topol. 14 (2014), 2065-2101. DOI: 10.2140/agt.2014.14.101
Left-orderable, non-L-space surgeries on knots, (with Masakazu Teragaito), Comm. Anal. Geom. 22 (2014), 421-449. DOI: 10.4310/CAG.2014.v22.n3.a2
Networking Seifert surgeries on knots IV: Seiferters and branched coverings, (with Arnaud Deruelle, Mario Eudave-Munoz and Katura Miyazaki), Contemp. Math. Amer. Math. Soc. 597 (2013), 235-262. DOI:10.1090/conm/597/11766
Hyperbolic seiferters for lens surgeries, (with Mario Eudave-Munoz and Katura Miyazaki), Proceedings of the Institute of Natural Sciences, Nihon University, 48 (2013), 175-184.
Networking Seifert surgeries on knots, (with Arnaud Deruelle and Katura Miyazaki), Mem. Amer. Math. Soc. 217 (2012), no. 1021, viii+130. DOI:10.1090/S0065-9266-2011-00635-0
Seifert fibered surgeries with distinct primitive/Seifert positions, (with Mario Eudave-Munoz and Katura Miyazaki), Topology Appl. 159 (2012), 980-989. DOI:10.1016/j.topol.2011.11.021
Band sum operations yielding trivial knots, (with Kai Ishihara), Bol. Soc. Mat. Mexicana (3) 15 (2009), 103-108.
Hyperbolic sections in Seifert fibered surface bundles, (with Kazuhiro Ichihara), Quart. J. Math. 60 (2009), 475-486. DOI: 10.1093/qmath/han022
Networking Seifert surgeries on knots II: Berge's lens surgeries, (with Arnaud Deruelle and Katura Miyazaki), Topology Appl. 156 (2009) 1083-1113. DOI:10.1016/j.topol.2008.10.012
Seifert Fibered Slopes and Boundary Slopes on Small Hyperbolic Knots, (with Kazuhiro Ichihara and Hyun-Jong Song), Bull. Nara Univ. Ed. Natur. Sci. 57 (2008), 21-25.
Hyperbolic sections in surface bundles, (with Kazuhiro Ichihara), Topology Appl. 154 (2007), 1398-1406.
Seifert fibered surgeries which do not arise from primitive/Seifert-fibered constructions, (with T.Mattman and K.Miyazaki), Trans. Amer. Math. Soc. 358 (2006), 4045-4055.
Geometric types of twisted knots, (with M. AitNouh, D. Matignon), Ann. Math. Blaise Pascal 13 (2006), 31-85.
All integral slopes can be Seifert fibered slopes for hyperbolic knots, (with Hyun-Jong Song), Algebr. Geom. Topol. 5 (2005), 369-378.
Braids and Nielsen-Thurston types of automorphisms of punctured surface, (with K.Ichihara), Tokyo J. Math. 28 (2005), 527-538.
On primitive/Seifert-fibered constructions, (with K.Miyazaki), Math. Proc. Camb. Phil. Soc. 138 (2005), 421-435.
Obtaining graph knots by twisting unknots, (with M. AitNouh, D. Matignon), Topology Appl. 146-147 (2005), 105-121.
Twisted unknots, (with M. AitNouh, D. Matignon), C. R. Acad. Sci. Paris, Ser. I 337 (2003), 321-326.
Dehn surgeries, group actions and Seifert fiber spaces, Comm. Anal. Geom. 11 (2003), 343-389.
An experimental study of Seifert fibered Dehn surgery via SnapPea, Interdisciplinary Information Sciences 9 (2003), 95-125.
Stably filling curves on a surface, (with K.Ichihara), Kobe J. Math. 19 (2002), 61-66.
Crossing change and exceptional Dehn surgery, (with K.Miyazaki), Osaka J. Math. 39 (2002), 773-777.
Seifert fibering surgery on periodic knots, (with K.Miyazaki), Topology Appl. 121 (2002), 275-285.
Non-hyperbolic Dehn surgeries on hyperbolic knots, Geometry and Topology, Proceedings of Workshop in Pure Math. 19 (2000), (The Korean Academic Council), 105-116.
Toroidal surgery on periodic knots, (with K.Miyazaki), Pacific J. Math. 193 (2000), 381-396.
Seifert fibered manifolds and Dehn surgery III, (with K.Miyazaki), Comm. Anal. Geom. 7 (1999), 551-582.
Toroidal and annular Dehn surgeries of solid tori, (with K.Miyazaki), Topology Appl. 93 (1999), 173-178.
Seifert fibered manifolds and Dehn surgery II, (with K.Miyazaki), Math. Ann. 311 (1998), 647-664.
Applications of graph theory to cut-and-paste arguments, (with C.Hayashi), Sugaku Expositions, Amer. Math. Soc. 11 (1998), 123-143.
A study of Seifert fibring surgery by locating a Seifert fibre, (with K.Miyazaki), Proceedings of Applied Mathematics Workshop 8, The 5th Korea-Japan School of Knots and Links, KAIST (edited by Gyo Taek and Ki Hyong Ko) (1997), 199--212.
Dehn surgery on knots in solid tori creating essential annuli, (with C.Hayashi), Trans. Amer. Math. Soc. 349 (1997), 4897-4930.
Only single twist on unknots can produce composite knots, (with C.Hayashi), Trans. Amer. Math. Soc. 349 (1997), 4465-4479.
Knot types of satellite knots and twisted knots, Lectures at Knots 96, World Scientific Publishing Company (1997), 579-603.
Seifert fibred manifolds and Dehn surgery, (with K.Miyazaki), Topology 36 (1997), 579-603.
Bridge numbers of twisted Montesinos knots, Proc. of the Institute of Natural Sciences, Nihon University, 31 (1996), 141-146.
A note on unlinking numbers of Montesinos links, Rev. Mat. Complut. Madrid 9 (1996), 151-164.
切り貼りの技法とグラフ理論 (林忠一郎氏との共著), 数学(日本数学会), 岩波書店, 第47巻, 第4号 (1995), 377-393.
On satellite knots, (with M.Kouno), Math. Proc. Camb. Phil. Soc. 115 (1994), 219-228.
Knotting trivial knots and resulting knot types, Pacific J. Math. 161 (1993), 371-383.
Primeness of twisted knots, Proc. Amer. Math. Soc. 119 (1993), 979-983.
Behavior of knots under twisting (with M.Kouno and T.Shibuya), In : Aspects of Low Dimensional Manifolds, Adv. Stud. Pure. Math. 20 (1992), pp 113--124, Kinokuniya.
Twisting and knot types (with M.Kouno and T.Shibuya), J. Math. Soc. Japan 44 (1992), 199-216.
Are knots obtained from a plain pattern always prime ?, (with T.Shibuya), Kobe J. Math. 9 (1992), 39-42.
Homology 3-spheres which are obtained by Dehn surgeries on knots, Math. Ann. 281 (1988), 483-493.
Haken manifolds and representations of their fundamental groups in SL(2,C), Topology Appl. 29 (1988), 207-212.